Chapter 7: Q. 15 (page 503)

In Problems 9–23, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.
$\cos (\cos^{- 1} 0.6)$

Short Answer

Expert verified

The exact value of the composite function is $0.6 .$

Step by step solution

Step 1. Given Information

The given composite function is $\cos (\cos^{- 1} 0.6) .$

We have to find the exact value.

Step 2. Finding the value

By using the properties of an inverse function, $f (f^{- 1} (x)) = \cos (\cos^{- 1} x) = x w h e r e - 1 \leq x \leq 1$

So, $\cos (\cos^{- 1} 0.6) = 0.6$

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In Problems 9–23, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.
$\cos (\cos^{- 1} 0.6)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the value

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In Problems 9–23, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.coscos-10.6

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Pure Maths

Geometry

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

In Problems 9–23, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.
$\cos (\cos^{- 1} 0.6)$